A note on the “Exp-function method for traveling waves of nonlinear evolution equations”

摘要

In this note we analyze the paper of Noor et al. (2010) [1]. Using the Exp-function method Noor et al. found the “generalized solitary and periodic solutions” of Zakharov–Kuznetsov and Zakharov–Kuznetsov-Modified-Equal-Width equations. We have checked Noor’s solutions and proved that seven from ten of them does not satisfy to equations considered. The general solution of the Zakharov–Kuznetsov equation in the traveling waves was obtained along ago. We give this solutions in this letter for the reference source.